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Morita contexts, preradicals and closure operators in modules
A. I. Kashu Vladimir Andrunachievici Institute of Mathematics and Computer Science, Academiei 5 str., Kishinau, Moldova
Abstract:
The preradicals and closure operators in module categories are studied. The concordance is shown between the mappings connecting the classes of preradicals and of closure operators of two module categories R-Mod and S-Mod in the case of a Morita context (R,RUS,SVR,S), using the functors HomR(U,−) and HomS(V,−).
Keywords and phrases:
ring, module, category, preradical, closure operator, Morita context.
Citation:
A. I. Kashu, “Morita contexts, preradicals and closure operators in modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 1, 83–98
Linking options:
https://www.mathnet.ru/eng/basm567 https://www.mathnet.ru/eng/basm/y2022/i1/p83
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Abstract page: | 112 | Full-text PDF : | 31 | References: | 35 |
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